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A note on Bierstone–Milman–Pawłucki's paper ``Composite differentiable functions''

A note on Bierstone–Milman–Pawłucki's paper ``Composite differentiable functions''

We demonstrate that the composite function theorems of Bierstone–Milman–Pawłucki and of Glaeser carry over to any polynomially bounded, o-minimal structure which admits smooth cell decomposition. Moreover, the assumptions of the o-minimal vers